Extending the deck 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Working with Students Further Resources This task is about working out area. Question 1Change answer The Jacobs have a diamond-shaped deck. Its measurements are shown in Diagram 1. The Jacobs have a diamond-shaped deck. Its measurements are shown in Diagram 1. a) What is the total area of the deck? m2 Question 1Change answer They decide to extend the deck on one side. This is shown by the thick dotted lines () in Diagram 2. They decide to extend the deck on one side. This is shown by the thick dotted lines () in Diagram 2. b) What is the total area of the deck now? m2 Task administration: This task can be completed with pencil and paper or online (with auto marking displayed to students). Level: 5 Curriculum info: Maths, Geometry and Measurement, Measurement Keywords: area, composite shapes, triangles Description of task: Students calculate the total area of a deck and a deck with an extension. Learning Progression FrameworksThis resource can provide evidence of learning associated with Measurement sense, sets 7-8 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y10 (12/1997) a) 24 m2 moderate b) 36 m2 moderate Diagnostic and formative information: Common errors Likely calculation Likely reason a) 25 5 × 5 Assumes area of rhombus = area of square. a) 720 3 × 3 × 4 × 4 × 5 Multiplies all dimensions to get area. a) b) 20 24 5 × 4 5 × 2 + 7 × 2 Confuses area and perimeter. a) b) 34 48 5 × 4 + 3 + 4 + 3 + 4 34 + 2 × 7 Confuses area and total length of all lines. Chocolate measures Area of triangles Measuring road signs Bush reserve Posting a box Blocks of land Area of the section Work out the area Volume and surface area Squares and rectangles Measuring the park Colours on the flag How big is the dressing table? Enlargement and area Three oranges Enlargement, length and area Corinth Canal Tiling around the pool Volume of cream Area of four lawns Calculating a pyramid Estimating the area of Antarctica Shot Put circles Painting a water tank Triangles and rectangles
